With these given conditions, I equate them to find the actual time. Here are the equation and result: 1. The clock shows 3:45. 2. It's 15 minutes slow. So, adding the 15 minutes: 45 + 15 = 60 minutes. 3. The actual time is a quarter past an hour (the hour represents the highest hour on the clock which is 4 in this case). So, for 1 hour, it's actually 60 minutes, and since it's 15 minutes slow, the whole hour (from the second minute) should be 1 * 4 + 15 = 21 minutes past the hour (since the 60 minutes from the clock included 15 minutes which weren't part of the slow clock's display). Therefore, you could sum up the previous equation with the main equation's hour hour (which are 4), the corrected hour (which is 21 minutes divided by 60 minutes per hour). If we did those steps, we find that the correct time based on the said text is 3:36 in the afternoon.